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Algebra

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System of Three Equations: Going to the Movies

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A group of friends went to the movies together. Jayden bought 3 drinks, 2 candy bars, and 3 popcorns, which totaled $\$31$. Aaron bought 2 drinks, 4 candy bars, and 3 popcorns totaling $\$31$. Finally, Marcus went to the concession stand and bought 1 drink, 4 candy bars, and one popcorn, totaling $\$17$.

How much do a single drink, candy bar, and a popcorn cost?

A

$p = \$1, d = \$4, c = \$4$

B

$p = \$1, d = \$10, c = \$8$

C

$p = \$5, d = \$1, c =\$ 7$

D

$p =\$5, d = \$4, c = \$2$